Search a number
-
+
2606017535796 = 2232343491447217
BaseRepresentation
bin100101111011000010101…
…111111101111100110100
3100020010120211202101201110
4211323002233331330310
5320144110442121141
65313104331555020
7356164354365153
oct45730257757464
910203524671643
102606017535796
11915229a62064
12361091bbba70
1315b991aba23c
14901bbdc959a
1547bc6298e16
hex25ec2bfdf34

2606017535796 has 96 divisors (see below), whose sum is σ = 6505884177408. Its totient is φ = 809926064640.

The previous prime is 2606017535783. The next prime is 2606017535851. The reversal of 2606017535796 is 6975357106062.

It is a super-2 number, since 2×26060175357962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5603580 + ... + 6050796.

It is an arithmetic number, because the mean of its divisors is an integer number (67769626848).

Almost surely, 22606017535796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606017535796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252942088704).

2606017535796 is an abundant number, since it is smaller than the sum of its proper divisors (3899866641612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2606017535796 is a wasteful number, since it uses less digits than its factorization.

2606017535796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447781 (or 447779 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 2606017535796 in words is "two trillion, six hundred six billion, seventeen million, five hundred thirty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 491 516 982 989 1473 1964 1978 2946 2967 3956 5892 5934 11293 11868 21113 22586 33879 42226 45172 63339 67758 84452 126678 135516 253356 447217 485599 894434 971198 1341651 1456797 1788868 1942396 2683302 2913594 5366604 5827188 10285991 19230331 20571982 30857973 38460662 41143964 57690993 61715946 76921324 115381986 123431892 219583547 230763972 439167094 442297613 658750641 878334188 884595226 1317501282 1326892839 1769190452 2635002564 2653785678 5050421581 5307571356 9442092521 10100843162 15151264743 18884185042 20201686324 28326277563 30302529486 37768370084 56652555126 60605058972 113305110252 217168127983 434336255966 651504383949 868672511932 1303008767898 2606017535796